Integers expressible in the form a4 + b4, pages 22-28 in Mathematical Buds Vol.3 (H.Ruderman, ed.; Norman, Oklahoma: Mu Alpha Theta, 1984).
In this study, we develop necessary conditions for the existence of ZCPS-Wh v) for the cases v="3Q, Q an integer of the form 4h+3 and v="3R+1, R an integer of the form 4h+1.
The horizontal displacement u is assumed to be in the form of u = zu1 + znun, where n is an odd integer.
A similar problem involves decomposing a given integer into the sum of three squares; in it, Diophantus excludes the impossible case of integers of the form 8n + 7 (again, n is a non-negative integer).
(8 13), the optimization problem is in the form of Integer Quadratic Programming (IQP) in the scheduling variables ( {x}_{r,{n}_h}^{m_t} ).
Integer programming ensures maximally efficient solutions that meet conservation targets in the form of minimum proportions (30%) and minimum areas (15 ha) of each environment type.
The optimization problem is constructed in the form of a Mixed Integer Programming (MIP) model.
The aforementioned problem is formulated in the form of a bi-objective nonlinear integer programming model.
When diagnostic data was only presented in the form of percentages or fractions, we attempted to revert it back to integer form to determine the original population numbers in each diagnostic category of a 2x2 contingency table.
Converts four integer RGB values from 0-255 into an ARGB integer of the form 0xaarrggbb.
In contrast, if we aggregate elementary reaction steps into a combined power-law expression, with the same form of (1), the interpretation of the coefficient g jk changes and they can take non-integer values [ 22- 25].
